Physics NotePublished
Second Hopf map and supersymmetric mechanics with Yang monopole
Zhanna Kuznetsova; M. Gonzales; V. Yeghikyan
Publication details
- Authors
- Zhanna Kuznetsova; M. Gonzales; V. Yeghikyan
- Type
- Physics Note
- Status
- Published
- Publication date
- 31/03/2009
- Description
- We propose to use the second Hopf map for the reduction (via $SU(2)$ group action) of the eight-dimensional ${\cal N}=8$ supersymmetric mechanics to five-dimensional supersymmetric systems specified by the presence of an $SU(2)$ Yang monopole. For our purpose we develop the relevant Lagrangian reduction procedure. The reduced system is characterized by its invariance under the ${\cal N}=5$ or ${\cal N}=4$ supersymmetry generators (with or without an additional conserved BRST charge operator) which commute with the $su(2)$ generators.
- Year
- 2009
- Linked to a thesis
- No
- Linked to a grant
- No